Efficient eighth order p-stable methods for second order initial value problems

DOI10.1080/00207169708804579zbMath0881.65059OpenAlexW2068587133MaRDI QIDQ4347176

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Publication date: 13 January 1998

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169708804579

zbMATH Keywords

numerical examplessecond-order initial value problems\(P\)-stability

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (2)

Variable-order, variable-step methods for second-order initial-value problems ⋮ Stage reduction on P-stable Numerov type methods of eighth order

Cites Work

• Efficient fourth order P-stable formulae
• High order P-stable formulae for the numerical integration of periodic initial value problems
• An Iteration Scheme for Implicit Runge—Kutta Methods
• Damping and phase analysis for some methods for solving second-order ordinary differential equations
• Symmetric Multistip Methods for Periodic Initial Value Problems

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